Direct and inverse methods in nonlinear evolution equations : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 5-12, 1999

＜図書＞
Direct and inverse methods in nonlinear evolution equations : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 5-12, 1999

責任表示	R. Conte ... [et al.] ; editor, Antonio M. Greco
シリーズ	Lecture notes in physics ; 632 Physics and astronomy online library
データ種別	図書
出版情報	Berlin ; Tokyo : Springer , c2003
本文言語	英語
大きさ	xi, 278 p. ; 24 cm
概要	Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special anal...tic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities la Painlev, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables. The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7005033

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	SER/LNP/632	2003		023212004000763		予約・取寄			予約・取寄

一般注記	Includes bibliographical references and index
著者標目	Conte, Robert, 1943- Greco, Antonio M. *C.I.M.E. Summer School (1999 : Cetraro, Italy)
件　名	LCSH:Evolution equations, Nonlinear -- Numerical solutions -- Congresses 全ての件名で検索 LCSH:Inverse problems (Differential equations) -- Numerical solutions -- Congresses 全ての件名で検索
分　類	LCC:QC20.7.E88 DC22:530.15/5353
書誌ID	1001396801
ISBN	3540200878
NCID	BA64744737
巻冊次	ISBN:3540200878
登録日	2009.11.02
更新日	2017.02.18